In order to eliminate the interference of reverse-driving and the positive or negative value of normal pressure on the direction of frictional force, in solving mechanism dynamics equations, a dynamics sequence solution (DSS) is proposed. For this purpose a moment equation about joints for links is proposed, and it, together with the traditional mechanics equation of links, forms a dynamic-equation set, to provide a basic equation set of mechanism dynamics. In order to explain DSS, the force at a particular joint is considered in terms of the normal and tangential directions, and the resolution of the problem using a four-bar linkage mechanism as an example, are explained. The solution procedures diagrams for different driving types of reverse-driving force, as well as the solution process for friction force under normal pressure, are described. With a dry-straw-compression mechanism as the example, a dynamic model of the mechanism is established, and the above proposed DSS is used to find unknown forces. Finally, the dynamic characteristics of rotary-transplanting mechanisms (the key component of high-speed rice transplanter) are analyzed, through the proposed DSS, and the results are verified in a test-bed situation. The consistency of the test results with the theoretical ones shows that the proposed DSS is able to effectively solve the dynamics equations of complicated mechanisms. In this part, the authors introduced DSS and discussed the feasibility of its application.